Preheat the oven to 350 °F.
Cook garlic, onion, salt, and pepper in oil.
Place in a 9" pie plate.
Cook the ham and broccoli. Add to the pie plate.
Whisk together the eggs, milk, and paprika. Pour into the pie plate.
Top with cheddar.
Place the pie plate on a cookie tray and bake for 45 to 55 minutes, until top is golden.